Search a number
-
+
33504505144 = 23111498325411
BaseRepresentation
bin11111001101000001…
…100010110100111000
310012110222122012122221
4133031001202310320
51022104123131034
623220341453424
72264162411005
oct371501426470
9105428565587
1033504505144
1113233468680
1265b0711274
13320c44b196
14189ba5a8ac
15d11625bb4
hex7cd062d38

33504505144 has 32 divisors (see below), whose sum is σ = 68539213440. Its totient is φ = 15227704800.

The previous prime is 33504505109. The next prime is 33504505157. The reversal of 33504505144 is 44150540533.

It is a super-2 number, since 2×335045051442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1305799 + ... + 1331209.

It is an arithmetic number, because the mean of its divisors is an integer number (2141850420).

Almost surely, 233504505144 is an apocalyptic number.

It is an amenable number.

33504505144 is an abundant number, since it is smaller than the sum of its proper divisors (35034708296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33504505144 is a wasteful number, since it uses less digits than its factorization.

33504505144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40411 (or 40407 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 33504505144 in words is "thirty-three billion, five hundred four million, five hundred five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 88 14983 25411 29966 50822 59932 101644 119864 164813 203288 279521 329626 559042 659252 1118084 1318504 2236168 380733013 761466026 1522932052 3045864104 4188063143 8376126286 16752252572 33504505144